Three-dimensional collapse and steady flow in thick-walled flexible tubes

Journal of Fluids and Structures

Volumn 20, Issue 6 SPEC. ISS., 2005, Pages 817-835

  Marzo, A ^a   Luo, X Y ^b   Bertram, C D ^c  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

^c UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Buckling; Collapsible tube flow; Finite element methods; Wavespeed

Indexed keywords

BOUNDARY CONDITIONS; BUCKLING; COMPUTER SIMULATION; DEFORMATION; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; STEADY FLOW; VELOCITY; VISCOSITY OF LIQUIDS;

COLLAPSIBLE TUBE FLOW; NONLINEAR DEFORMATION; WAVESPEED;

PIPE FLOW;

BUCKLING; COLLAPSE; ELASTIC BODY; FLUID-STRUCTURE INTERACTION; STEADY FLOW;

EID: 23844528824     PISSN: 08899746     EISSN: 10958622     Source Type: Journal    
DOI: 10.1016/j.jfluidstructs.2005.03.008     Document Type: Article

References (31)

1. P.Z. Bar-Yoseph S. Mereu S. Chippada V.J. Kalro Automatic monitoring of element shape quality in 2-D and 3-D computational mesh dynamics Computational Mechanics 27 2001 378-395
2. G.S. Berke D.C. Green M.E. Smith D.P. Arnstein V. Honrubia M. Natividad W.A. Conrad Experimental evidence in the invivo canine for the collapsible tube model of phonation Journal of the Acoustical Society of America 89 1991 1358-1363
3. C.D. Bertram The effects of wall thickness, axial strain and end proximity on the pressure-area relation of collapsible tubes Journal of Biomechanics 20 1987 863-876
4. C.D. Bertram The dynamics of collapsible tubes In: C.P. Ellington T.J. Pedley (Eds.) Biological Fluid Dynamics 1995 Company of Biologists Ltd. Cambridge, UK 253-264
5. C.D. Bertram Experimental studies of collapsible tubes In: P.W. Carpenter T.J. Pedley (Eds.) Flow past Highly Compliant Boundaries and in Collapsible Tubes 2003 Kluwer Academic Publishers Dordrecht, The Netherlands 51-65
6. C.D. Bertram R.J. Castles Flow limitation in uniform thick-walled collapsible tubes Journal of Fluids and Structures 13 1999 399-418
7. C.D. Bertram N.S.J. Elliott Flow-rate limitation in a uniform thin-walled collapsible tube, with comparison to a uniform thick-walled tube and a tube of tapering thickness Journal of Fluids and Structures 17 4 2003 541-559
8. C.D. Bertram S.A. Godbole LDA measurements of velocities in a simulated collapsed tube ASME Journal of Biomechanical Engineering 119 1997 357-363
9. C.D. Bertram C.J. Raymond Measurements of wave speed and compliance in a collapsible tube during self-excited oscillations: A test of the choking hypothesis Medical and Biological Engineering and Computing 29 1991 493-500
10. C.D. Bertram C.J. Raymond T.J. Pedley Application of dynamical system concepts to the analysis of self-excited oscillations of a collapsible tube conveying a flow Journal of Fluids and Structures 5 1991 391-426
11. R.L. Binns D.N. Ku Effect of stenosis on wall motion-a possible mechanism of stroke and transient ischemic attack Arteriosclerosis 9 1989 842-847
12. B.S. Brook T.J. Pedley A model for time-dependent flow in (giraffe jugular) veins: Uniform tube properties Journal of Biomechanics 35 2002 95-107
13. R.W. Brower C. Scholten Experimental evidence on the mechanism for the instability of flow in collapsible vessels Medical and Biological Engineering 13 1975 839-845
14. Z.X. Cai X.Y. Luo A fluid-beam model for flow in collapsible channel Journal of Fluids and Structures 17 1 2003 123-144
15. FIDAP, 2002. FIDAP 8.7.0 Theory and User's Manual, Fluent, Inc.
16. J.E. Flaherty J.B. Keller S.I. Rubinow Post buckling behavior of elastic tubes and rings with opposite sides in contact SIAM Journal of Applied Mathematics 23 1972 446-455
17. D.J. Griffiths Hydrodynamics of male micturition-I: Theory of steady flow through elastic-walled tubes Medical and Biological Engineering 9 1971 581-588
18. A.C. Guyton L.H. Adkins Quantitative aspects of the collapse factor in relation to venous return American Journal of Physiology 177 1954 523-527
19. A.L. Hazel M. Heil Steady finite-Reynolds-number flows in three-dimensional collapsible tubes Journal of Fluid Mechanics 486 2003 79-103
20. M. Heil O.E. Jensen Flows in deformable tubes and channels: Theoretical models and biological applications In: P.W. Carpenter T.J. Pedley (Eds.) Flow past Highly Compliant Boundaries and in Collapsible Tubes 2003 Kluwer Academic Publishers Dordrecht, The Netherlands 15-50
21. M. Heil T.J. Pedley Large post-buckling deformations of cylindrical shells conveying viscous flow Journal of Fluids and Structures 10 1996 565-599
22. O.E. Jensen M. Heil High-frequency self-excited oscillations in a collapsible-channel flow Journal of Fluid Mechanics 481 2003 235-268
23. R.D. Kamm T.J. Pedley Flow in collapsible tubes: A brief review ASME Journal of Biomechanical Engineering 111 1989 177-179
24. D.N. Ku Blood flow in arteries Annual Review of Fluid Mechanics 29 1997 399-434
25. X.Y. Luo T.J. Pedley Numerical simulation of steady flow in a 2-D collapsible channel Journal of Fluids and Structures 9 1995 149-197
26. X.Y. Luo T.J. Pedley A numerical simulation of unsteady flow in a two-dimensional collapsible channel Journal of Fluid Mechanics 314 1996 191-225
27. X.Y. Luo T.J. Pedley The effects of wall inertia on flow in a two-dimensional collapsible channel Journal of Fluid Mechanics 363 1998 253-280
28. X.Y. Luo T.J. Pedley Multiple solutions and flow limitation in collapsible channel flows Journal of Fluid Mechanics 420 2000 301-324
29. T.J. Pedley Longitudinal tension variation in collapsible channels: A new mechanism for the breakdown of steady flow ASME Journal of Biomechanical Engineering 114 1992 60-67
30. C. Ribreau S. Naili A. Langlet Head losses in smooth pipes obtained from collapsed tubes Journal of Fluids and Structures 8 1994 183-200
31. S. Rodbard A hydrodynamics mechanism for autoregulation of flow Cardiologia 48 1966 532-535